art architecture painting music startup.file golden section divine proportion, golden ratio, PHI construction search for golden section Divine Proportion by Luca Pacioli golden section by Runion A Study in Mathematical Beauty Mathematical History Golden Number Fibonacci Ratios Geometry: Euclid and Beyond Essays on Number in Architecture link@ Technical University HamburgHarburg proportion : Claude Debussy The Golden Section by Hans Walser Since antiquity, the Golden Section has played a significant role in many parts of geometry, architecture, music, art, and philosophy. But it also appears in the newer domains of technology and fractals. In t his way, the Golden Section is no isolated phenomenon but rather, in many cases, the first and also the simplest nontrivial example in a sequence of generalizations leading to further developments. It is the purpose of this book, on the one hand, to describe examples of the Golden Section, and on the other, to show some paths to further extensions. read more da Vinci proportions The Last Supper Vitruvian Man (The Proportions of the Human Figure), 1490  
